Estes’s seven-point victory was conspicuously narrow for a district that Trump won by 27 points in the presidential election.

Democrats will have another chance to break through in a conservative district on Tuesday, when voters in Georgia will choose a candidate to replace Tom Price, the former House member Trump tapped as his secretary of health and human services.

Polls show Jon Ossoff, a 30-year-old Democrat, leading the field, and he can avoid a runoff with a Republican candidate by surpassing 50% of the vote on Tuesday.